This paper is addressed to a problem of synthesis of hyperexponential control algorithm based on Implicit Lyapunov Function (ILF) method using model-free technique for synchronous motors. The nonlinear motor model under consideration corresponds to a non-salient synchronous motor with surface–mounted permanent magnets installed in the rotor. The model-free approach is applied to replace the complex nonlinear motor model with an ultra-local model with simple dynamics. Then hyperexponential control law is formulated using the theorem with linear matrix inequalities. The effectiveness of the approach is demonstrated via realistic numerical simulations with delays in control channel and noised measurements.

The control design problem for finite-time stabilization of linear descriptor systems is considered. The scheme of control parameters selection is presented by a linear matrix inequalities. Obtained stabilizability conditions are more reliable (linear matrix inequalities are not fragile) than the existing results. The settling time estimate is obtained. The theoretical results are supported by numerical simulations.

This paper addresses to the problem of a non-linear MIMO systems control. A class of non-linear parameter uncertain systems operating under unknown bounded disturbances is considered. It is assumed, that mathematical model of such system can be decomposed on linear and non-linear dynamics. Proposed control algorithm is based on the method of consecutive compensator. The only required parameter to be known for the controller synthesis is a relative degree of linear part of plant. The effectiveness of the control method is demonstrated experimentally using the laboratory platform named «Twin Rotor MIMO System». The proposed method is compared with standard PID controller. Experimental results show that the transient behaviour of the developed control algorithm provides higher accuracy and performance, especially for the case of model parameters deviation from their nominal values.

The article describes an active learning method in studying the course "Integrated Systems Design and Control" for the masters program "System Analysis and Control". The method is based on involving of students to acquisition of a new knowledge in learning process, finding optimal solutions supported by practical activities. Strengthening of theoretical knowledge is supposed to be performed through workshops and discussions of the learnt materials. Practical learning is performed within the laboratory practice on a specially designed bench that described in this article.